Probably most of the PG-13 and Rated R movies. I know I got kicked out of the room by my dad during the movie "The Piano" for some reason. My mom wouldn't let me watch Dirty Dancing or Ghost until I was a preteen, I think.
I was, oddly enough, allowed to watch Poltergeist, Gremlins, and Ghostbusters at a really young age though. :) I even saw one of the Nightmare On Elm Street sequels when I was flipping channels on the tv (although I kind of regretted that later that day because I was afraid to go to sleep lol).